Least Common Multiple of 23/211, 321/341, 837/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/211, 321/341, 837/462 quickly i.e. 2059857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/211, 321/341, 837/462 is 2059857.

LCM(23/211, 321/341, 837/462) = 2059857

LCM of 23/211, 321/341, 837/462

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 23/211,321/341,837/462

Given numbers are 23/211,321/341,837/462

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 23,321,837

Least Common Multiple of Numerators i.e. LCM of 23,321,837 is 2059857.

GCF of Denominators means GCF of 211,341,462 as per the given fractions.

GCF of 211,341,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,321,837

LCM of Fractions 23/211,321/341,837/462 is 2059857

3 23, 321, 837
23, 107, 279

∴ So the LCM of the given numbers is 3 x 23 x 107 x 279 = 2059857

Least Common Multiple of 23,321,837 with GCF Formula

Least Common Multiple of 23,321,837 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,321,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,321,837) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(23,321,837) x common factors =1 x 3 = 3

LCM(23,321,837) = ( 23 × 321 × 837 ) / 3

LCM(23,321,837) = 6179571 / 3

LCM(23,321,837) = 2059857


Lets's calculate GCF of 211,341,462

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2059857/1

Therefore the LCM of Fractions 23/211,321/341,837/462 is 2059857

Greatest Common Factor of 211,341,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,341,462 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 211,341,462 . The biggest common factor number is the GCF number.
So the greatest common factor 211,341,462 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 23/211, 321/341, 837/462

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 23/211, 321/341, 837/462?

Answer: LCM of Numerators as per given numbers 23/211, 321/341, 837/462 is

LCM of Numerators i.e. for 23,321,837 is 2059857

GCF of denominators i.e. for 211,341,462 is 1.

Thus, LCM of Fractions is 2059857.Finally, LCM of Fractions for 23/211, 321/341, 837/462 is 2059857.